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If the number is too small for that many logs (i.e. the value would drop to 1 or below before the last log), the upgrade simply does nothing and leaves the number unchanged, so log 0 is never evaluated. 

Thank you so much for taking the time to play my game and share your feedback! You're actually the first person to give me feedback on my game, so it means a lot to me. I really appreciate your support!

I've added a button that lets you earn Insight by clicking it, so the early game feels a little less slow. There's still so much more to come, and I'd love for you to stick around and see what's next!